We present a hydrodynamic model for semiconductors, where the energy equation is replaced by a pressure-density relationship. We prove existence of smooth solutions and a uniqueness result in the subsonic case, which is characterized by a smallness assumption on the current flowing through the devi
On one-dimensional models for hydrodynamics
β Scribed by Carlos Escudero
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 210 KB
- Volume
- 217
- Category
- Article
- ISSN
- 0167-2789
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π SIMILAR VOLUMES
Steady-state BV solutions to a one-dimensional hydrodynamic model for semiconductors are shown to exist as limits of viscous solutions as the viscosity vanishes. 1997 Academic Press ## 1. Introduction Recently the hydrodynamic model for semiconductors has received increasing attention. The model
The one-dimensional stationary full hydrodynamic model for semiconductor devices with non-isentropic pressure is studied. This model consists of the equations for the electron density, electron temperature, and electric field in a bounded domain supplemented with boundary conditions. The existence o